Modular forms of half-integral weight with few non-vanishing coefficients modulo $\ell $

DOI10.1090/S0002-9939-08-09195-8zbMath1195.11063MaRDI QIDQ3518222

Dohoon Choi

Publication date: 7 August 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

congruencesmodular forms of half-integral weight

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (4)

Congruences involving arithmetic progressions for weakly holomorphic modular forms ⋮ Congruences involving the \(U_{\ell}\) operator for weakly holomorphic modular forms ⋮ The algebraic parts of the central values of quadratic twists of modular \(L\)-functions modulo \(\ell\) ⋮ Modular forms of half-integral weight on \(\Gamma_0 (4)\) with few nonvanishing coefficients modulo \(\ell\)

Cites Work

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• Coefficients of half-integral weight modular forms modulo \(\ell^{ j }\)
• Fourier coefficients of half-integral weight modular forms modulo \(\ell\)
• Arithmetic properties of the partition function
• A tameness criterion for Galois representations associated to modular forms (mod \(p\))
• Coefficients of half-integral weight modular forms.
• Nonvanishing modulo \(l\) of Fourier coefficients of half-integral weight modular forms

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